Optimization Methods for Calibration of Heat Conduction Models

  • Radim Blaheta
  • Rostislav Hrtus
  • Roman Kohut
  • Ondřej Jakl
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7116)

Abstract

The paper provides a summary of techniques, which are suitable for calibration of models like both stationary and nonstationary heat conduction. We assume that the PDE based models are discretized by finite elements and PDE coefficients are piecewise constant on apriori given macroelements (subdomains). A special attention is given to Gauss-Newton methods, evaluation of the derivatives and application of these methods to a heat evolution problem, which arose in geoengineering.

Keywords

Forward Problem Unconstrained Minimization Heat Conduction Model Continuous Piecewise Linear Function Nonstationary Heat Conduction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Radim Blaheta
    • 1
  • Rostislav Hrtus
    • 1
  • Roman Kohut
    • 1
  • Ondřej Jakl
    • 1
  1. 1.Institute of Geonics of the Academy of Sciences of the Czech RepublicOstravaCzech Republic

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